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Finding the Fourth Proportional to 659.88, 910.64 and 397.84

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Solution

The fourth proportional to 659.88, 910.64 and 397.84 is: 549.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.88 : 910.64 = 397.84 : x
  2. Step 2: Convert to fraction form
    659.88/910.64 = 397.84/x
  3. Step 3: Cross multiply
    659.88x = 910.64 × 397.84
  4. Step 4: Simplify right side
    659.88x = 362,289.02
  5. Step 5: Solve for x
    x = 362,289.02/659.88
  6. Step 6: Final answer
    x = 549.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.